Answer:
Step-by-step explanation:
A
No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.
B
Factor each number into it's primes.
24 =<u> 2*2*2</u>*3
32 = <u>2*2*2</u>*2*2
The highest common factor is 2*2*2 = 8
C
9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.
6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2
It wont be a perfect number
Answer:
The shortcuts is
Divide number of units by 100
Step-by-step explanation:
From the question we are told that
insulin u-100 is ![L = 100 \ unit /mL](https://tex.z-dn.net/?f=L%20%20%3D%20%20100%20%5C%20unit%20%2FmL)
From the data given above we see that
100 units of insulin u-100 is contained in 1 mL
So 1 unit of u-100 is contained in x mL
=> ![x = \frac{1}{100} \ mL](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
This means that a unit of insulin u-100 occupies ![x = \frac{1}{100} \ mL](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
So we can represent a single unit of insulin u-100 as ![\frac{1}{100} \ mL](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
Now if 1 unit of insulin u-100 is represented as ![\frac{1}{100} \ mL](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
Then y unites of insulin u-100 is represented as z
So
![z = \frac{y}{100} \ mL](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B100%7D%20%20%5C%20%20mL)
From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100
Answer:
5√10
Step-by-step explanation:
The distance between two points A(
) and B(
) on the coordinate plane is given by:
![|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%20%7D)
From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).
Hence the lengths of the line segment EF and CD are:
![|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}](https://tex.z-dn.net/?f=%7CEF%7C%3D%5Csqrt%7B%288-%28-1%29%29%5E2%2B%28-4-%28-1%29%29%5E2%7D%20%3D%5Csqrt%7B90%7D%3D3%5Csqrt%7B10%7D%20%5C%5C%5C%5CCD%3D%5Csqrt%7B%28-1-%28-7%29%29%5E2%2B%28-2-%28-4%29%29%5E2%7D%3D%5Csqrt%7B40%7D%20%20%3D2%5Csqrt%7B10%7D%20%5C%5C%5C%5CTherefore%3A%5C%5C%5C%5C%7CEF%7C%2B%7CCD%7C%3D3%5Csqrt%7B10%7D%20%2B2%5Csqrt%7B10%7D%20%3D5%5Csqrt%7B10%7D)
Answer:
66.6 or 67%
Step-by-step explanation:
100/6= 16.66666667
16.66666667 × 4 = 67%